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We use a holographic model of quantum chromodynamics to extract the equationof state (EoS) for the cold nuclear matter of moderate baryon density. Thismodel is based on the Sakai-Sugimoto model in the deconfined Witten's geometrywith the additional point-like D4-brane instanton configuration as theholographic baryons. Our EoS takes the following doubly-polytropic form: $\epsilon=2.629 {\cal A}^{-0.192} p^{1.192}+0.131 {\cal A}^{0.544} p^{0.456}$with $\cal A$ a tunable parameter of order $10^{-1}$, where $\epsilon$ and $p$are the energy density and pressure, respectively. The sound speed satisfiesthe causality constraint and breaks the sound barrier. We solve theTolman-Oppenheimer-Volkoff equations for the compact stars and obtain thereasonable compactness for the proper choices of $\cal A$. Based on theseconfigurations we further calculate the tidal deformability of the single andbinary stars. We find our results agree with the inferred values of LIGO/Virgodata analysis for GW170817.

Compact Star of Holographic Nuclear Matter and GW170817